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      "value": "$\\sigma_2 = (p_0p_1p_2)$"
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      "quote": "Similarly, an oriented 2-simplex  $\\sigma_{2} = (p_{0}p_{1}p_{2})$  is a triangular region  $p_0p_1p_2$  with a prescribed orientation along the edges (figure 3.6(b)). Observe that the orientation given by  $p_0p_1p_2$  is the same as that given by  $p_2p_0p_1$  or  $p_1p_2p_0$  but opposite to  $p_0p_2p_1$ ,  $p_2p_1p_0$  or  $p_1p_0p_2$ . We require that",
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